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Exotic open $4$–manifolds
which are nonleaves
Carlos Meniño Cotón and Paul A Schweitzer |
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Geometry & Topology 22 (2018) 2791–2816
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Abstract |
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We study the possibility of realizing exotic smooth structures on finitely punctured simply connected closed –manifolds as leaves of a codimension-one foliation on a compact manifold. In particular, we show the existence of uncountably many smooth open –manifolds which are not diffeomorphic to any leaf of a codimension-one foliation on a compact manifold. These examples include some exotic ’s and exotic cylinders . |
Keywords
exotic $\mathbb{R}^4$, nonleaves, codimension-one
foliations
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Mathematical Subject Classification 2010
Primary: 37C85, 53C12, 57R30
Secondary: 57R55
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References |
Publication
Received: 25 November 2016
Revised: 13 November 2017
Accepted: 25 February 2018
Published: 1 June 2018
Proposed: Yasha Eliashberg
Seconded: András I Stipsicz, Leonid Polterovich
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Authors |
| Carlos Meniño Cotón | |
| Departamento de Análise, Instituto
de Matemática e Estatística Universidade Federal Fluminense Niterói Rio de Janeiro-RJ Brazil |
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| Paul A Schweitzer | |
| Departamento de Matemática Pontificia Universidade Católica do Rio de Janeiro Gávea Rio de Janeiro-RJ Brazil |
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